Infinite-dimensional Frobenius manifolds underlying an extension of the dispersionless Kadomtsev-Petviashvili hierarchy

DOI10.1016/j.geomphys.2020.104006zbMath1477.53113arXiv2005.05204OpenAlexW3096072648MaRDI QIDQ2223744

Chao-Zhong Wu, Shilin Ma, Dafeng Zuo

Publication date: 1 February 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05204

zbMATH Keywords

Hamiltonian structureFrobenius manifoldKadomtsev-Petviashvili hierarchyWhitham hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

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